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Descriptive Statistics

Origin provides the following tools to help you summarize your continuous and discrete data.

Descriptive

The Statistics on Columns/Rows operation performs column-wise/row-wise descriptive statistics on selected worksheet data.

  • Statistics on Columns
    Performs column-wise descriptive statistics on grouped or raw data.

  • Statistics on Rows
    Performs row-wise descriptive statistics to generate statistics for rows in worksheet.

Descriptive statistics report table and graphs

Frequencies

  • Discrete Frequency
    Discrete frequency analysis is one common method to analyze discrete variables. It counts the frequency of discrete data, including percentage and cumulative percentage.

  • Frequency Counts
    The function computes the frequency counts for 1D data and help to produce histogram in desired way.

Histogram with distribution curve
2D histogram
  • 2D Frequency Count/Binning
    A useful tool to compute the frequency counts and plot 2D histogram for 2D/bivariate data.

Distributions

  • Normality Test

  • A normality test is used to determine whether sample data has been drawn from a normally distributed population (within some tolerance).

    Six different normality tests are available in Origin:

    • Shapiro-Wilk
    • Kolmogorov-Smirnov
    • Lilliefors
    • Anderson-Darling
    • D'Agostino's K-Squared
    • Chen-Shapiro

    Normal Q-Q Plot created by Origin graphing tool
  • Distribution Fit PRO

  • Knowing the distribution model of the data helps you to continue with the right analysis. or make estimation of your data. The Distribution Fit tool helps users to examine the distribution of their data, and estimate parameters for the distribution

    Distribution Fit Result Shown as Bar Chart with Overlayed Distribution Curve

    Correlation Coefficient PRO

    Scatter matrix plot created by Origin graphing tool
    Correlation coefficient report

    The correlation coefficient, also called the cross-correlation coefficient, is a measure of the strength of the relationship between pairs of variables. Origin provides both parametric and non-parametric measures of correlation.

    • Pearson's r Correlation
    • Spearman's Rank Order Correlation
    • Kendall's tau Correlation

    Detecting Outliers

    An outlier is an observation that is dramatically distant from the rest of the data. Origin provides two tools to help detecting the outliers.

    • Grubbs Test
    • Dixon's Q-test
    The outlier report created by Origin Grubbs Test.
    The outlier plot created by Origin Grubbs Test.
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